Compare the two functions: Function 1: x -1 0 1 2 4 5 y -20 -5 10 25 40 55 Function 2: (4 points) Which function has the larger y-intercept? Which function has a constant rate of change? Which function has the greater rate of change in the interval [0,2]? Which function has the greater rate of change in the interval [4,5]? Skip to navigation
Function 1 has a y-intercept of -20, while Function 2 has a y-intercept of 0. Therefore, Function 1 has the larger y-intercept.
Function 1 has a constant rate of change of 15, as the difference in y-values between each pair of consecutive points is consistently 15.
Function 2 does not have a constant rate of change, as the difference in y-values between each pair of consecutive points varies.
In the interval [0,2], the rate of change for Function 1 is (25-10)/(1-0) = 15, and the rate of change for Function 2 is (4-0)/(1-0) = 4. Therefore, Function 1 has the greater rate of change in this interval.
In the interval [4,5], the rate of change for Function 1 is (55-40)/(5-4) = 15, and the rate of change for Function 2 is (0-4)/(5-4) = -4. Therefore, Function 1 has the greater rate of change in this interval.